To put it simple: with increase in bitcoin price the value of gas fee rises. Could it decline the profit in bitcoin investment to the extent when we are not able to pay the
The Bitcoin network is not the same as Ethereum or other networks that charge a gas fee for their transactions. Bitcoin charges are by SATs, which are called transaction fees and not gas fees. When fees are high, I think sometimes it's just a benefit to the miners, which makes them a little richer, but that doesn't in any way reduce investment profit. Although there might be a price decline because of the high fee to execute transactions, most people might not want to transact, and a few might want to sell out of panic.